Triangles

NOTES 5 New Theorems: Parts of Similar Triangles Unit 6 Day 3
1) If two triangles are similar, then the perimeters are proportional to the measures of the corresponding sides. The ratio of the perimeters = scale factor.

2) If two triangles are similar, the measures of the corresponding altitudes are proportional to the measure if the corresponding sides.

3) If the two triangles are similar. The the measures of the corresponding angle bisectors fo the triangles are proportional to the measure of the corresponding sides. Ratio of angle bisectors = scale factor

4) If the two triangles are similar, then the measures of the corresponding medians are proportional to the measures of the corresponding sides. Ratio of medians=scale factor

SUMMARY: If triangle A is similar to triangle B then the ratio of all corresponding one dimensional lengths is = to the scale factor.

5) Angle bisector proportionality theorem
An angle bisector in a triangle separates the opposite side into segments that have the same ratio as the other two sides.

Classwork Parts of Similar Triangles Unit 6 Day 3

Find the value of each variable in each figure below.